(X*20)^(3/2)=512

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Solution for (X*20)^(3/2)=512 equation:


D( X )

20*X < 0

20*X < 0

20*X < 0

20*X+0 < 0 // - 0

20*X < 0 // : 20

X < 0/20

X < 0

X in <0:+oo)

(20*X)^(3/2) = 512 // - 512

(20*X)^(3/2)-512 = 0

20^(3/2)*X^(3/2) = 512 // : 20^(3/2)

X^(3/2) = 512/(20^(3/2))

X^(3/2) = 512/(20^(3/2)) // ^ 2

X^3 = 4096/125 // ^ 1/3

X = 16/5

X = 16/5

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